Dictionaries Construction Using Alternating Projection Method in Compressive Sensing

被引：16

作者：

Li, Bo ^{[1
]}

Shen, Yi ^{[1
]}

Li, Jia ^{[1
]}

机构：

[1] Harbin Inst Technol, Harbin 150001, Peoples R China

来源：

IEEE SIGNAL PROCESSING LETTERS | 2011年 / 18卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Compressive sensing; OMP algorithm; sensing dictionary; RESTRICTED ISOMETRY PROPERTY; FRAMES; BOUNDS;

D O I：

10.1109/LSP.2011.2168517

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This letter introduces a novel algorithm to construct sensing and measurement dictionaries in compressive sensing using alternating projection method. The cumulative and mutual cross coherence of the constructed dictionaries are lower than those of Gaussian random dictionary. The concept of General Restricted Isometry Constant (GRIC) is introduced. Low cumulative cross coherence puts bound on GRIC and small GRIC improves successful recovery rate of OMP algorithm. Experiments demonstrate that OMP algorithm performs better using dictionaries constructed by the proposed algorithm than Gaussian random dictionaries and those constructed by Schnass' algorithm.

引用

页码：663 / 666

页数：4

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